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Article ID: CBB403025207

Before the end of an error: Giovanni Bianchini’s original flawed treatise on the conversion of stellar coordinates (2021)

Brummelen, Glen Van (Author)

Archive for History of Exact Sciences
Volume: 75
Issue: 1
Pages: 109-124

DOI: 10.1007/s00407-020-00261-0

URI: https://doi.org/10.1007/s00407-020-00261-0

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Stars; stellar astronomy Mathematics Error Primary literature (historical sources) 15th century Italy Bianchini, Giovanni

In my 2018 article in this journal, I described 15th-century Italian astronomer Giovanni Bianchini’s treatment of the problem of stellar coordinate conversion in his Tabulae primi mobilis, the first correct European solution. In this treatise Bianchini refers to a book he had written previously, containing the same error that had plagued his predecessors’ work on the problem. In this article, we announce the discovery of this earlier treatise. We compare its canons and tables to Bianchini’s later work, noting the places where the contents overlap (roughly one quarter of the text). We analyze his mathematical methods and the unique tables he constructed for converting stellar coordinates, including the earliest known European arc sine table, that he would abandon only a few years later.

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